How to Find GCF of 2802/780, 3542/3854?

GCF of 2802/780, 3542/3854

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 2802/780, 3542/3854 i.e 2/1503060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2802/780, 3542/3854.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 2802/780,3542/3854?

Given fractions are 2802/780,3542/3854

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 2802/780,3542/3854, numerators are 2802,3542

Denominators are 780,3854

The GCF of 2802,3542 is 2 .

LCM of 780,3854 is 1503060.

The greatest common factor of 2802/780,3542/3854 = [GCF of 2802,3542]/[LCM of 780,3854]= 2/1503060

Therefore, the GCF of 2802/780,3542/3854 is 2/1503060.

Greatest Common Factor of 2802,3542

To find the highest common factor of 2802,3542, we have to find the factors of both numbers and list the highest common factor.

The factors of 2802 are 1, 2, 3, 6, 467, 934, 1401, 2802

The factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542

The HCF of 2802,3542 is 2.

Lets's calculate GCF of 2802,3542

Greatest Common Factor (GCF) of 2802,3542 By Common Division

2	2802, 3542
	1401, 1771

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2802,3542 By Matching Biggest Common Factor Method

Now, list down the factors of 2802

1,2,3,6,467,934,1401,2802

Now, list down the factors of 3542

1,2,7,11,14,22,23,46,77,154,161,253,322,506,1771,3542

Greatest Common Factor

We found the factors 2802,3542 . The biggest common factor number is the GCF number.
So the greatest common factor 2802,3542 is 2.

Lets's calculate LCM of 780,3854

Lowest Common Multiple of 780,3854 using Common Division

2	780, 3854
	390, 1927

∴ So the LCM of the given numbers is 2 x 390 x 1927 = 1503060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1503060

Therefore, the GCF of Fractions 2802/780,3542/3854 is 2/1503060

Least Common Multiple of 780,3854 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 780,3854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,3854) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(780,3854) x common factors =2 x 1 = 2

LCM(780,3854) = ( 780 × 3854 ) / 2

LCM(780,3854) = 3006120 / 2

LCM(780,3854) = 1503060

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2802/780, 3542/3854

1. What is the HCF of 2802,3542?

The HCF of 2802,3542 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 2802/780, 3542/3854?

Answer: GCF of Numerators as per given numbers 2802/780, 3542/3854 is

GCF of Numerators i.e. for 2802,3542 is 2

LCM of denominators i.e. for 780,3854 is 1503060.

Thus, GCF of Fractions is 2/1503060.Finally, GCF of Fractions for 2802/780, 3542/3854 is 2/1503060.